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Q.

Which of the following can never be the measure of exterior angle of a regular polygon?


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a

22°

b

36°

c

45°

d

30° 

answer is A.

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Detailed Solution

We need to find an angle which can never be the measure of exterior angle of a regular polygon.
A regular polygon in which the side lengths and angle measures are equal.
Next, the sum of all the exterior angles of a regular polygon is given by the relation 360° n , where n denotes the number of sides of the polygon.
Now, from the given options, it can be observed that 36°,45° and 30° can divide the angle 360° .
So, these can be obtained as a measure of an exterior angle of a regular polygon.
But, 22° can never divide 360° and so, it can never be the measure of the exterior angle of the regular polygon.
Hence, the correct option is (1).
 
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